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Natali [406]
3 years ago
12

The minute hand of a clock is 3 inches long. How far does the tip of the minute hand move in 40 minutes​?

Mathematics
1 answer:
Mkey [24]3 years ago
6 0

Answer:

  4π in ≈ 12.57 in

Step-by-step explanation:

One full revolution (2π radians) is made in 60 minutes. In 40 minutes, the hand moves through an angle θ of (40/60)(2π) = 4π/3 radians. The length of the arc is ...

  s = rθ = (3 in)(4π/3) = 4π in ≈ 12.57 in

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